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CSL
2007
Springer
13 years 10 months ago
Relativizing Small Complexity Classes and Their Theories
Existing definitions of the relativizations of NC1 , L and NL do not preserve the inclusions NC1 ⊆ L, NL ⊆ AC1 . We start by giving the first definitions that preserve them....
Klaus Aehlig, Stephen Cook, Phuong Nguyen
CSL
2007
Springer
13 years 10 months ago
Propositional Logic for Circuit Classes
Abstract. By introducing a parallel extension rule that is aware of independence of the introduced extension variables, a calculus for quantified propositional logic is obtained w...
Klaus Aehlig, Arnold Beckmann
CSL
2007
Springer
13 years 10 months ago
Incorporating Tables into Proofs
We consider the problem of automating and checking the use of previously proved lemmas in the proof of some main theorem. In particular, we call the collection of such previously p...
Dale Miller, Vivek Nigam